Ricardian Trade

francis

2 Ricardian Trade

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Introduction

In this chapter, we explain the theory of Ricardian trade and why countries, regions and individuals are better off trading with each other rather than setting up barriers to trade. Finally, we introduce the concept of Willingness To Pay and Willingness To Accept which will be central in introducing the demand and supply curve in Chapter 3.

Example 2.1

First, gains from trade are introduced with a discussion question. You should be able to answer these questions using concepts seen in the previous Chapter. The question asks you to think outside the box. Use logic!

The following graphs show the PPF for Trump and Xi Jinping when they work 40 hours a week.

The previous question shows how people can be better off if they collaborate and trade together than if they live a life of autarky, without trading with anyone else. Trade is efficient because it allows individuals or societies to specialize in the production of goods and services for which they are more productive. This may be because they have better knowledge, human capital, technology or natural resources. Adam Smith (1776) is the first to be credited with developing a theory to explain why countries should trade together: the theory of absolute advantages. David Ricardo (1817) later developed the theory of comparative advantage.

The Theory of Absolute Advantages

The theory of absolute advantages states that countries should specialize in the production of goods for which they have an absolute advantage. A country has an absolute advantage in the production of a good if it’s absolute cost of producing the good is lower than the absolute cost for other countries. One disadvantage of the theory of absolute advantages is that countries with only absolute advantages do not benefit from trade. Even if this is the case, countries may still benefit from trade. This is a problem with this theory. For this reason, economists kept looking for a better, more complete, theory of trade. David Ricardo found the solution with his theory of comparative advantages.

Example 2.2

In our example, Xi Jinping could produce 10 tons of steel in 40 hours. His absolute cost of producing one ton of steel is thus 4 hours of work ([latex]\frac{2}{3}[/latex] ) and 8 hours of work for a ton of steak. In the case of Trump, the cost is 8 hours of work per ton of steel and 4 hours per ton of steaks. We can show this information in a table:

Cost of Production	Canada	China
1 ton of steel	8 hours	6 hours
1 ton of lumber	3 hours	5 hours

Because the cost of producing steel is cheaper for Xi Jinping than for Trump, he should specialize in the production of steel while Trump should specialize in the production of steaks.

Example 2.3

Suppose that the following table shows the cost (in USD) of producing lumber and steel in the USA and in Azerbaijan.

Cost of production	USA	Azerbaijan
1 ton of steel	$500 per ton	$675 per ton
1 ton of lumber	$150 per ton	$225 per ton

According to the theory of absolute advantages the USA and Azerbaijan should not be trading together because the USA is better at producing both steel and lumber.

The Theory of Comparative Advantages

The theory of comparative advantages states that countries should specialize in the production of goods for which they have a lower relative opportunity cost of production. If you remember Chapter 1, you will remember that the opportunity cost of producing one good is the opposite of the opportunity cost of producing the other good (see example 1.5). As such, if a country has a lower opportunity cost for producing a good, it will automatically have a higher opportunity cost in the production of the other good. Unless 2 countries have the same opportunity cost, they will always gain from trade: countries (and people) should trade together!

Example 2.4

Take the previous example with the USA and Azerbaijan:

Cost of production	USA	Azerbaijan
1 ton of steel	$500 per ton	$675 per ton
1 ton of lumber	$150 per ton	$225 per ton

We can calculate the opportunity cost for each country (as per the note on math in previous chapters). The opportunity cost of a ton of steel is [latex][/latex]\frac{Price of steel}{Price of lumber}. The following table shows the absolute cost and the opportunity cost for the previous example:

Opportunity Cost	USA	Azerbaijan
Steel	[latex]\frac{500}{150}=3.33[/latex] tons of lumber	[latex]\frac{675}{225}=3[/latex] tons of lumber
Lumber	[latex]\frac{150}{500}=0.3[/latex] tons of steel	[latex]\frac{225}{675}=0.3333[/latex] tons of steel

In this example, Azerbaijan has a lower opportunity cost for the production of steel than the USA. As such, these two countries would still benefit from trading together: The USA by producing lumber and Azerbaijan by producing steel.

Willingness to Accept

The theory of comparative advantages tells us that it is beneficial for countries to trade together. However, countries and individuals would not be willing to trade under all conditions. The Willingness to Accept (WTA) represent how much a country or individual would be willing to get in order to part (or sell) a good: it is the lowest amount an individual is willing to accept as payment for a good. If the price of a good is above a countries WTA, the country should be willing to trade that good. It turns out that the WTA for a country or firm, is the opportunity cost of a good.

Example 2.5

Let’s use the example with the USA and Azerbaijan. The opportunity cost table is copied here for your convenience:

Opportunity Cost	USA	Azerbaijan
Steel	[latex]\frac{500}{150}=3.33[/latex] tons of lumber	[latex]\frac{675}{225}=3[/latex] tons of lumber
Lumber	[latex]\frac{150}{500}=0.3[/latex] tons of steel	[latex]\frac{225}{675}=0.3333[/latex] tons of steel

Azerbaijan is willing to accept 3 tons of lumber for 1 ton of steel. If the USA proposes to give Azerbaijan 2 tons of lumber for 1 ton of steel, Azerbaijan would refuse. It would cost Azerbaijan 3 tons of lumber (in missed production) to produce 1 ton of steel, but could only sell it to the USA for 2 tons of steel. It might as well just use it's resources to produce lumber domestically. Instead, if the USA proposes to give Azerbaijan 4 tons of lumber for 1 ton of steel, Azerbaijan would accept the deal. It can produce 1 more ton of steel at the cost of 3 tons of lumber and trade the steel for 4 tons of lumber. A net gain of 1 ton of lumber for Azerbaijan. The same logic works for the USA. The USA's WTA is 0.3 tons of steel for 1 ton of lumber. As such, if Azerbaijan offers 0.25 tons of steel for 1 ton of US lumber, the USA would refuse. It might as well just not produce a ton of lumber domestically and instead produce 0.3 tons of steel. However, if Azerbaijan offers 0.35 tons of steel for 1 ton of US lumber, the USA would accept. It can produce a ton of US lumber instead of 0.3 tons of steel and exchange that ton of lumber for 0.35 tons of steel. A net gain of 0.05 tons of steel. As a side note, this implies that the price of lumber will have to settle somewhere between 3 tons of lumber for 1 ton of steel and 3.33 tons of lumber for 1 ton of steel. Or, alternatively, 0.3 tons of steel for 1 ton of lumber and 0.33 tons of steel for 1 ton of lumber.

A final note on WTA. Up to this point we used linear PPFs. However, a more realistic PPF would be concave. In this case, the opportunity cost of goods will change depending on where we are on the PPF (You can review Example 1.6). The most important to remember is that with concave PPFs, the opportunity cost increases when more of a good is produced. As such, when a country, individual or society produces more of a good, the WTA increases. The country will be asking for a higher and higher price the more units of a good it produces.